Mortgage Payment Problem: People who buy houses usually get a loan to pay for most of the house and pay on the resulting mortgage each month. Suppose you get a $50,000 loan and pay it back at $550.34 per month with an interest rate of 12% per year (1% per month). Your balance, B dollars, after n monthly payments is given by the algebraic equation a. Make a table of your balances at the end of each 12 months for the first 10 years of the mortgage. To save time, use the table feature of your grapher to do this. b. How many months will it take you to pay off the entire mortgage? Show how you get your answer. c. Plot on your grapher the graph of B as a function of n from n = 0 until the mortgage is paid off. Sketch the graph on your paper. d. True or false: After half the payments have been made, half the original balance remains to be paid. Show that your conclusion agrees with your graph from part c. e. Give the domain and range of this function. Explain why the domain contains only integers.

Carole Pateman: The Sexual Contract 3.15.16 She looks at the social contract and views how it affects inequality between genders. Her piece is called Women & Consent. Context: feminist critiques of liberalism Pateman is responding to a dilemma that feminists call a “double bind” o Should women attempt to seek to obtain absolute equality with men Does this mean women should become more like men Does this not reproduce inherently male standards of evaluation & qualification for positions of power/authority/respectability Does this not accept social devaluation of practices, characteristics & value that